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Finding the Fourth Proportional to 114,342.08, 157,791.84 and 64,040

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Solution

The fourth proportional to 114,342.08, 157,791.84 and 64,040 is: 88,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,342.08 : 157,791.84 = 64,040 : x
  2. Step 2: Convert to fraction form
    114,342.08/157,791.84 = 64,040/x
  3. Step 3: Cross multiply
    114,342.08x = 157,791.84 × 64,040
  4. Step 4: Simplify right side
    114,342.08x = 10,104,989,433.60
  5. Step 5: Solve for x
    x = 10,104,989,433.60/114,342.08
  6. Step 6: Final answer
    x = 88,375.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.